Fourier spectral solver for the incompressible Navier-Stokes equations with volume-penalization

G.H. Keetels, H.J.H. Clercx, G.J.F. Heijst, van

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)
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Abstract

In this study we use a fast Fourier spectral technique to simulate the Navier-Stokes equations with no-slip boundary conditions. This is enforced by an immersed boundary technique called volume-penalization. The approach has been justified by analytical proofs of the convergence with respect to the penalization parameter. However, the solution of the penalized Navier-Stokes equations is not smooth on the surface of the penalized volume. Therefore, it is not a priori known whether it is possible to actually perform accurate fast Fourier spectral computations. Convergence checks are reported using a recently revived, and unexpectedly difficult dipole-wall collision as a test case. It is found that Gibbs oscillations have a negligible effect on the flow evolution. This allows higher-order recovery of the accuracy on a Fourier basis by means of a post-processing procedure.
Original languageEnglish
Title of host publicationProceedings of the 7th Intrenational Conference Computational Science (ICCS 2007) 27-30 May 2007, Beijing, China
EditorsYong Shi, G.D. Albada, van, J. Dongarra, P.M.A. Sloot
Place of PublicationBerlin / Heidelberg
PublisherSpringer
Pages898-905
ISBN (Print)978-3-540-72583-1
DOIs
Publication statusPublished - 2007
Event7th International Conference on Computational Science (ICCS 2007) - Jiuhua Spa & Resort, Beijing, China
Duration: 27 May 200730 May 2007
Conference number: 7
http://www.iccs-meeting.org/iccs2007/

Publication series

NameLecture Notes in Computer Science
Volume4487
ISSN (Print)0302-9743

Conference

Conference7th International Conference on Computational Science (ICCS 2007)
Abbreviated titleICCS 2007
CountryChina
CityBeijing
Period27/05/0730/05/07
Other"Advancing Science and Society through Computation"
Internet address

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